## Introduction to solid state physics |

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Page 62

These7 are the fundamental

only if a, b, c are orthogonal. We have written all the denominators as a • b x c,

because by elementary

These7 are the fundamental

**vectors**of the**reciprocal lattice**. They are orthogonalonly if a, b, c are orthogonal. We have written all the denominators as a • b x c,

because by elementary

**vector**algebra b • c x a = c □ a x b = a □ b x c , whose ...Page 70

Figure 21 Reciprocal lattice points near the point O at the origin of the reciprocal

lattice. The

Two planes 1 and 2 are drawn which are the perpendicular bisectors of Gc and ...

Figure 21 Reciprocal lattice points near the point O at the origin of the reciprocal

lattice. The

**reciprocal lattice vector**Gc connects points OC; and Go connects OD.Two planes 1 and 2 are drawn which are the perpendicular bisectors of Gc and ...

Page 74

c'| = fci3 . (47) The primitive translations A, B, C of the

defined by (28). We have, using (46) and (47), A = ^(i + y) ; B = ^(y + z) ; C = -^(x +

z) .

**vectors**parallel to the cube edges. The volume of the primitive cell is V = |a' • b' xc'| = fci3 . (47) The primitive translations A, B, C of the

**reciprocal lattice**aredefined by (28). We have, using (46) and (47), A = ^(i + y) ; B = ^(y + z) ; C = -^(x +

z) .

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### Contents

CRYSTAL STRUCTURE | 1 |

CRYSTAL DIFFRACTION AND THE RECIPROCAL LATTICE | 43 |

CRYSTAL BINDING | 95 |

Copyright | |

24 other sections not shown

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absolute zero absorption alkali alloy antiferromagnet applied field applied magnetic field atoms axis boundary Brillouin zone calculated Chapter charge components conduction band conduction electrons critical field crystal structure cubic defined density dielectric constant diffraction dipole direction dislocation dispersion relation elastic electric field electron gas energy gap entropy equation equilibrium excited exciton experimental F center Fermi surface ferroelectric ferromagnetic Figure free electron frequency function given heat capacity hole impurity interaction ionic ions lattice constant lattice points low temperatures magnetic field magnon Meissner effect metal momentum motion nearest neighbors neutron normal nuclear nucleus optical orbital paramagnetic particle phase phonon Phys physics plane polarizability polarization positive potential primitive cell quantum reciprocal lattice vector region resonance result room temperature scattering semiconductor shown in Fig solid specimen sphere spin superconducting susceptibility theory thermal tion transition temperature unit vacancies valence band velocity wave wavefunction wavelength wavevector x-ray